Topological groups: local versus global

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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1933-6053-1-SM.pdf (111.32 KB)

Fecha

2006-04-01

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https://riunet.upv.es/handle/10251/82955

Cita bibliográfica

Arhangelskii, A.; Uspenskij, VV. (2006). Topological groups: local versus global. Applied General Topology. 7(1):67-72. https://doi.org/10.4995/agt.2006.1933

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Resumen

[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients. Similar ‘local implies global’ theorems hold also for many other properties, such as normality, metacompactness, stratifiability, etc.

Palabras clave

Topological group, Paracompact, Lindelöf, Local properties

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2006.1933

Versión del editor

https://doi.org/10.4995/agt.2006.1933

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Applied General Topology - Vol 07, No 1 (2006)